Question

6. The internal angles of a triangle are in the ratio 2:3:5. Find the size of its
greatest angle. What type of triangle is it?​

Answer 1

let the angles be 2₩ , 3₩ and 5₩

as sum of all the angles of a trisngle=180

so

2₩+3₩+5₩ =180

10₩ = 180

₩= 18 degrees

therefore greatest angles is 5₩=5×18=90

and it is a right angled triangle as one angle is 90 degrees

Answer 2

Answer:

2:3:5

Angle sum property says all angles will have a sum of 180 degree

So , Let the angles be 2x , 3x and 5x

= 2x + 3x + 5x = 180

= 10 x = 180

= x = 180

___

10

= x = 18

therefore, 2x = 18 × 2 = 36

3x = 18 × 3 = 54

5x = 18 × 5 = 90

Also it is right angled triangle..